Hermite-Biehler, Routh-Hurwitz, and total positivity

Details Hermite-Biehler, Routh-Hurwitz, and total positivity Hermite-Biehler, Routh-Hurwitz, and total positivity

2005-12-27

arxiv.org/abs/math/0512591v1

Linear Algebra and its Applications, 372 (2003), 105-110

Mathematics

Classical Analysis and ODEs

4 pages

Scientific paper

10.1016/S0024-3795(03)00501-9

Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are
presented. The total nonnegativity of the Hurwitz matrix of a stable real
polynomial follows as an immediate corollary.

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